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Chapter 8: Q.13 (page 525)

A milk processor monitors the number of bacteria per millilitre in raw milk received at the factory. A random sample of 10 one-millilitre specimens of milk supplied by one producer gives the following data:

5370 4890 5100 4500 5260 5150 4900 4760 4700 4870

Construct and interpret a 90% confidence interval for the population mean 渭.

Short Answer

Expert verified

The confidence interval for the population mean渭is(4794.4,5105.6)

Step by step solution

01

introduction

A milk processor monitors the number of bacteria per millilitre in raw milk received at the factory.

Given data -

5370489051004500526051504900476047004870

02

explanation

Calculating the confidence interval CI,

n = 10

x-=4950and s =268.45

role="math" localid="1651643707213" 鈬�x炉卤zsn=4950卤2.021268.4510=(4794.4,5105.6)

the confidence interval is(4794.4,5105.6)

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Most popular questions from this chapter

2K10 begins In January 2010, a Gallup Poll asked a random sample of adults, "In general, are you satisfied or dissatisfied with the way things are going in the United States at this time?" In all, 256said that they were sitisfied and the remaining 769said they were not. Construct and interpret a90%confidence interval for the proportion of adults who are satisfied with how things are going. Follow the four-step process.

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18. Explaining confidence The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen. Comment on whether or not each of the following explanations is correct.
(a) There is a 95%probability that the interval from 107.8to 116.2contains 渭.
(b) There is a 95%chance that the interval (107.8,116.2) contains x.
(c) This interval was constructed using a method that produces intervals that capture the true mean in 95% of all possible samples.
(d) 95%of all possible samples will contain the interval (107.8,116.2).

(e) The probability that the interval (107.8,116.2)captures 渭is either 0or 1, but we don鈥檛 know which.

It's about ME Explain how each of the following would affect the margin of error of a confidence interval, if all other things remained the same.

(a) Increasing the confidence level

(b) Quadrupling the sample size

49. A Gallup Poll found that only 28%of American adults expect to inherit money or valuable possessions from a relative. The poll鈥檚 margin of error was 卤3percentage points at a 95% confidence level. This means that
(a) the poll used a method that gets an answer within 3%of the truth about the population 95% of the time.
(b) the percent of all adults who expect an inheritance is between 25%and 31%.
(c) if Gallup takes another poll on this issue, the results of the second poll will lie between 25%and 31%.
(d) there鈥檚 a 95% chance that the percent of all adults who expect an inheritance is between 25% and 31%.
(e) Gallup can be 95%confident that between 25% and 31% of the sample expect an inheritance

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